Quantum Gravity : Motivations and Alternatives 1
... no better, well-founded reasons, a theory of Quantum Gravity has to take into account this background-independence; it has to describe the dynamics of the gravitational field without recourse to an already existing spacetime (metric). Additionally, under extrapolation of the conceptual implications ...
... no better, well-founded reasons, a theory of Quantum Gravity has to take into account this background-independence; it has to describe the dynamics of the gravitational field without recourse to an already existing spacetime (metric). Additionally, under extrapolation of the conceptual implications ...
Uniqueness of the ground state in weak perturbations of non
... method developed here can be used to study completeness in more general situations, where, in particular, ground states with spontaneously broken translation symmetry (domain walls) can be present. We give now precise statements. ν We consider a quantum “spin” system on the lattice Z . Suppose that ...
... method developed here can be used to study completeness in more general situations, where, in particular, ground states with spontaneously broken translation symmetry (domain walls) can be present. We give now precise statements. ν We consider a quantum “spin” system on the lattice Z . Suppose that ...
A class of quantum many-body states that can be efficiently simulated
... adapt to both the local and global structure of the system’s underlying lattice; and ability to naturally assimilate symmetries such as invariance under translations or rescaling – which result in substantial gains in computational efficiency. Let us consider a square lattice L in D spatial dimensio ...
... adapt to both the local and global structure of the system’s underlying lattice; and ability to naturally assimilate symmetries such as invariance under translations or rescaling – which result in substantial gains in computational efficiency. Let us consider a square lattice L in D spatial dimensio ...
History of Quantum Mechanics or the Comedy of Errors1 Jean
... There are many examples at a macroscopic level that would raise a similar dilemma and where one would side with Einstein in making assumptions, even very unnatural ones, that would preserve locality. Suppose that two people are located far apart, and each tosses coins with results that are always e ...
... There are many examples at a macroscopic level that would raise a similar dilemma and where one would side with Einstein in making assumptions, even very unnatural ones, that would preserve locality. Suppose that two people are located far apart, and each tosses coins with results that are always e ...
Introduction to Group Field Theory
... (ii) a regulator, analogous to the lattice of lattice gauge theory; (iii) a specific quantum history compatible with the boundary state, analogous to a Feynman diagram in QFT. First interpretation seems very hard to realize in 4d (→ construction of 4d invariants of manifolds), and the other two hing ...
... (ii) a regulator, analogous to the lattice of lattice gauge theory; (iii) a specific quantum history compatible with the boundary state, analogous to a Feynman diagram in QFT. First interpretation seems very hard to realize in 4d (→ construction of 4d invariants of manifolds), and the other two hing ...
PDF
... Incompleteness, Non-Locality and Realism. In this book, Redhead describes three different views on quantum mechanics (A: hidden variables, B: propensities and potentialities, and C: complementarity) and, although he does not develop the second view in any detail, he seems to favour it over the alter ...
... Incompleteness, Non-Locality and Realism. In this book, Redhead describes three different views on quantum mechanics (A: hidden variables, B: propensities and potentialities, and C: complementarity) and, although he does not develop the second view in any detail, he seems to favour it over the alter ...
History of Quantum Mechanics or the Comedy of Errors
... There are many examples at a macroscopic level that would raise a similar dilemma and where one would side with Einstein in making assumptions, even very unnatural ones, that would preserve locality. Suppose that two people are located far apart, and each tosses coins with results that are always e ...
... There are many examples at a macroscopic level that would raise a similar dilemma and where one would side with Einstein in making assumptions, even very unnatural ones, that would preserve locality. Suppose that two people are located far apart, and each tosses coins with results that are always e ...
Compute by“Cooling”Quantum System
... extremely talented people have participated in the field and are challenging various possibilities. A number of meth- ...
... extremely talented people have participated in the field and are challenging various possibilities. A number of meth- ...
quantum effects in biology - Assets
... quite recently the overwhelmingly majority opinion has been that in a biological context the role of quantum theory is confined to elucidating the equilibrium structures of the relevant molecules and their reaction processes, and that subtle phenomena such as superposition and entanglement, of which ...
... quite recently the overwhelmingly majority opinion has been that in a biological context the role of quantum theory is confined to elucidating the equilibrium structures of the relevant molecules and their reaction processes, and that subtle phenomena such as superposition and entanglement, of which ...
Beyond the Standard Model
... between 80 and 100 MeV, and the charm quark with a mass of about 1.5 GeV. The leptons in this family are the muon with roughly 105 MeV mass, and its associated neutrino, the muon neutrino. The final, third, family contains the bottom quark with a mass of about 4.5 GeV, and the extraordinary heavy to ...
... between 80 and 100 MeV, and the charm quark with a mass of about 1.5 GeV. The leptons in this family are the muon with roughly 105 MeV mass, and its associated neutrino, the muon neutrino. The final, third, family contains the bottom quark with a mass of about 4.5 GeV, and the extraordinary heavy to ...
A CATEGORY THEORY AND HIGHER DIMENSIONAL ALGEBRA
... an extension of the concept of co–evolution of human consciousness and society leads one to the concept of social consciousness [190]. One arrives also at the conclusion that the human mind and consciousness are the result not only of the co-evolution of man and his society [91],[186],[190], but tha ...
... an extension of the concept of co–evolution of human consciousness and society leads one to the concept of social consciousness [190]. One arrives also at the conclusion that the human mind and consciousness are the result not only of the co-evolution of man and his society [91],[186],[190], but tha ...
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... suggests the amount is infinite: To specify a quantum state we need to specify the latitude and longitude of the corresponding point on the sphere, and in principle each may be given to arbitrary precision. These numbers can encode a long string of bits. For example, 011101101... could be encoded as ...
... suggests the amount is infinite: To specify a quantum state we need to specify the latitude and longitude of the corresponding point on the sphere, and in principle each may be given to arbitrary precision. These numbers can encode a long string of bits. For example, 011101101... could be encoded as ...
9 Quantum Phases and Phase Transitions of Mott
... state undergoes a novel, second-order quantum phase transition to a state with bond order: translational symmetry is spontaneously broken [19, 20] so that the resulting lattice structure has an even number of S = 1/2 spins per unit cell. So aspects of the non-zero spin excitations in this paramagnet ...
... state undergoes a novel, second-order quantum phase transition to a state with bond order: translational symmetry is spontaneously broken [19, 20] so that the resulting lattice structure has an even number of S = 1/2 spins per unit cell. So aspects of the non-zero spin excitations in this paramagnet ...
1 Detailing Coherent , Minimum Uncertainty States of Gravitons, as
... gauge theory is initially broken due to the introduction of vacuum energy, and that after a second-order phase transition, the instanton-anti-instanton structure of relic gravitons is reconstituted. This will be crucial to link graviton production with entropy, provided we have sufficiently HFGW at ...
... gauge theory is initially broken due to the introduction of vacuum energy, and that after a second-order phase transition, the instanton-anti-instanton structure of relic gravitons is reconstituted. This will be crucial to link graviton production with entropy, provided we have sufficiently HFGW at ...
Noncommutative geometry and reality
... This minor modification allows to treat locally compact spaces as well. After these general preliminaries we shall now give two examples. The first example will simply show that a Riemannian spin manifold M defines a canonical spectral triple as follows: We let X be the Hilbert space L2(M,S) of squa ...
... This minor modification allows to treat locally compact spaces as well. After these general preliminaries we shall now give two examples. The first example will simply show that a Riemannian spin manifold M defines a canonical spectral triple as follows: We let X be the Hilbert space L2(M,S) of squa ...
Quantum Weakest Preconditions - McGill School Of Computer Science
... quantum mechanics this situation is characterized by density matrices, of which a good expository discussion appears in (Nielsen and Chuang, 2000, Ch. 2). Concretely, a density matrix ρ on a Hilbert space H is a positive operator, that is, for all states |xi in H one requires that hx|ρxi ≥ 0, with f ...
... quantum mechanics this situation is characterized by density matrices, of which a good expository discussion appears in (Nielsen and Chuang, 2000, Ch. 2). Concretely, a density matrix ρ on a Hilbert space H is a positive operator, that is, for all states |xi in H one requires that hx|ρxi ≥ 0, with f ...